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82383215343 = 31113247674691
BaseRepresentation
bin100110010111001101…
…1000001101011101111
321212122102112221211220
41030232123001223233
52322210100342333
6101502450114423
75644350530202
oct1145633015357
9255572487756
1082383215343
1131a361a5040
1213b71b7ba13
1379cbac4a00
143db74a9939
15222282b8b3
hex132e6c1aef

82383215343 has 96 divisors (see below), whose sum is σ = 134524219392. Its totient is φ = 44425180800.

The previous prime is 82383215333. The next prime is 82383215363. The reversal of 82383215343 is 34351238328.

It is not a de Polignac number, because 82383215343 - 220 = 82382166767 is a prime.

It is a super-2 number, since 2×823832153432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82383215295 and 82383215304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82383215323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17559628 + ... + 17564318.

It is an arithmetic number, because the mean of its divisors is an integer number (1401293952).

Almost surely, 282383215343 is an apocalyptic number.

82383215343 is a deficient number, since it is larger than the sum of its proper divisors (52141004049).

82383215343 is a wasteful number, since it uses less digits than its factorization.

82383215343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4832 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 82383215343 in words is "eighty-two billion, three hundred eighty-three million, two hundred fifteen thousand, three hundred forty-three".

Divisors: 1 3 11 13 33 39 47 67 141 143 169 201 429 507 517 611 737 871 1551 1833 1859 2211 2613 3149 4691 5577 6721 7943 9447 9581 11323 14073 20163 23829 28743 33969 34639 40937 51601 60983 87373 103917 122811 124553 154803 182949 220477 262119 314297 373659 450307 532181 661431 670813 792779 942891 1350921 1596543 2012439 2378337 2425247 2866201 3457267 4085861 5853991 7275741 8598603 8720569 10371801 12257583 14771959 17561973 26161707 31528211 37260613 44315877 44944471 53116193 94584633 111781839 134833413 159348579 162491549 192035467 409866743 487474647 576106401 584278123 1229600229 1752834369 2112390137 2496461071 6337170411 7489383213 27461071781 82383215343